Stability of a Linear Oscillator with Variable Parameters
Date
1997-10-29
Authors
Ignatyev, Alexander O.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
A criterion of asymptotic stability for a linear oscillator with variable parameters is obtained. It is shown that this criterion is close to a necessary and sufficient conditions of asymptotic stability. An instability theorem is proved, and a mechanical example is considered.
Description
Keywords
differential equations, stable solution, Lyapunov function
Citation
Ignatyev, A. O. (1997). Stability of a linear oscillator with variable parameters. <i>Electronic Journal of Differential Equations, 1997</i>(17), pp. 1-6.
Rights
Attribution 4.0 International